By graphing the function, we can see that we have 3 real solutions and 2 non-real solutions.
How many real and nonreal solutions does the equation have?
To check this, we need to graph the equation and see how many times it intersects the x-axis.
Because the degree is 5, we know that there are 5 solutions in total.
Now if we look at the graph, we can see that it intersects the x-axis on 3 points, so there are 3 real solutions. And because there are 5 solutions in total, we conclude that the other 2 solutions are non-real.
So we have 3 real solutions and 2 non-real solutions.
If you want to learn more about polynomials:
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